A common difficulty in electronics is trying to determine the details of a circu

Question

A common difficulty in electronics is trying to determine the details of a circuit with limited information. Assume that by examining the wiring in a circuit, making some measurements, and looking at the resistor color codes, you have produced the following tentative circuit diagram. The boxes (A and B) represent circuit elements that you cannot access directly so you are unsure what they are. You are able to make some current and voltage measurements in other parts of the circuit. Here are the results with the switch closed (as currently shown) epsilon = 6.0 V, R_1 = 47 Ohm, R_2 = 22 Ohm I_A = steady 0.285 A up through box A Delta V_2 = steady 2.05 V (higher potential above R_2, lower potential below R_2) What is the potential difference across circuit element A? What is the potential difference across circuit element B? What are possible circuit elements labeled A and B? Please specify in detail: "resistor with resistance of 34.5 Ohm or "battery with emf of 1.2 V." If there is more than one possibility please list them all. Assume the switch is now opened (in dotted position). What happens to the voltage across R_1? What happens to the current through the battery epsilon?

Explanation / Answer

Potential across R2=2.05

Current across R2=2.05/22=0.093 A

Current across B=0.093 A

Current across R1=Ia-.093=0.191 A

Voltage across R1=9.01 V

Voltage across B =9.01-(2.05)=6.97 V

Potential difference across A=9.01-6=3.01 V and it is a battery with emf=3.01 with positive terminal upwards

If switch is open all current flows throughs R1 so emf across R1=9.01 and current=0.19 A

Current through battery=0.19A

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